Kinetic limits for waves in a random medium | Zendy

Guillaume Bal | Zendy; Tomasz Komorowski | Zendy; Lenya Ryzhik | Zendy

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Kinetic limits for waves in a random medium

Author(s) -

Guillaume Bal,

Tomasz Komorowski,

Lenya Ryzhik

Publication year - 2010

Publication title -

kinetic and related models

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.987

H-Index - 28

eISSN - 1937-5093

pISSN - 1937-5077

DOI - 10.3934/krm.2010.3.529

Subject(s) - central limit theorem , limit (mathematics) , diffusion , flow (mathematics) , statistical physics , mathematics , kinetic energy , particle (ecology) , physics , mathematical analysis , classical mechanics , quantum mechanics , geometry , statistics , geology , oceanography

2 Diffusive limit for a particle in a random flow 7 2.1 Diffusion of a particle in a time-dependent random flow . . . . . . . . . . . . . . . . 7 2.1.1 The central limit theorem, purely time-dependent flows, and diffusion . . . . 8 2.1.2 Using formal asymptotic expansions . . . . . . . . . . . . . . . . . . . . . . . 9 2.1.3 Random flows with spatial-temporal dependence . . . . . . . . . . . . . . . . 10 2.2 The proof of Theorem 2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3 One and two particles in a random flow with a strong drift . . . . . . . . . . . . . . 21

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